The asymmetric simple exclusion process with an open boundary

被引：9

作者：

Tracy, Craig A. ^{[1
]}

Widom, Harold ^{[2
]}

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.4822418

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles. (C) 2013 AIP Publishing LLC.

引用

页数：16

共 10 条

[1] EXACT SOLUTION OF A 1D ASYMMETRIC EXCLUSION MODEL USING A MATRIX FORMULATION
DERRIDA, B
EVANS, MR
HAKIM, V
PASQUIER, V
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (07): : 1493 - 1517
[2] Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition
Derrida, Bernard
Gerschenfeld, Antoine
[J]. JOURNAL OF STATISTICAL PHYSICS, 2009, 136 (01) : 1 - 15
[3] Symmetric exclusion process with a localized source
Krapivsky, P. L.
[J]. PHYSICAL REVIEW E, 2012, 86 (04):
[4] Liggett T. M., 2005, Classics in Mathematics
[5] Sasamoto T., ARXIV12041114
[6] Exact solution of the master equation for the asymmetric exclusion process
Schutz, GM
[J]. JOURNAL OF STATISTICAL PHYSICS, 1997, 88 (1-2) : 427 - 445
[7] LONG-RANGE CORRELATIONS FOR STOCHASTIC LATTICE GASES IN A NON-EQUILIBRIUM STEADY-STATE
SPOHN, H
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (18): : 4275 - 4291
[8] Integral formulas for the asymmetric simple exclusion process
Tracy, Craig A.
Widom, Harold
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 279 (03) : 815 - 844
[9] The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line
Tracy, Craig A.
Widom, Harold
[J]. JOURNAL OF STATISTICAL PHYSICS, 2013, 150 (01) : 1 - 12
[10] Integral Formulas for the Asymmetric Simple Exclusion Process (vol 279, pg 815, 2008)
Tracy, Craig A.
Widom, Harold
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 304 (03) : 875 - 878

← 1 →